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Finding the Third Proportional to 88,738 and 193,027

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Solution

The third proportional to 88,738 and 193,027 is: 419,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,738 : 193,027 = 193,027 : x
  2. Step 2: Convert to fraction form
    88,738/193,027 = 193,027/x
  3. Step 3: Cross multiply
    88,738x = 193,027 × 193,027
  4. Step 4: Simplify right side
    88,738x = 37,259,422,729
  5. Step 5: Solve for x
    x = 37,259,422,729/88,738
  6. Step 6: Final answer
    x = 419,881.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.